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Finding the Fourth Proportional to 9,200.22, 13,798.89 and 3,044.22

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Solution

The fourth proportional to 9,200.22, 13,798.89 and 3,044.22 is: 4,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.22 : 13,798.89 = 3,044.22 : x
  2. Step 2: Convert to fraction form
    9,200.22/13,798.89 = 3,044.22/x
  3. Step 3: Cross multiply
    9,200.22x = 13,798.89 × 3,044.22
  4. Step 4: Simplify right side
    9,200.22x = 42,006,856.92
  5. Step 5: Solve for x
    x = 42,006,856.92/9,200.22
  6. Step 6: Final answer
    x = 4,565.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.